A computer undergoes downtime if a certain critical component
fails. This component is known to fail at an average rate of once
per five weeks according to the Poisson distribution. No
significant downtime occurs if replacement components are on hand
because repair can be made rapidly. There are two components on
hand, and ordered replacements are not due for eight weeks.
What is the probability of significant downtime occurring before
the ordered components arrive?
If the shipment is delayed two weeks, what is the probability of
significant downtime occurring before the shipment arrives?